Math 3 Review

Front

What is the value of f(4) + f(7) if f(x) = 2x - 8?

Back

f(4) = 2(4) - 8 = 0; f(7) = 2(7) - 8 = 6; Therefore, f(4) + f(7) = 0 + 6 = 6.

Front

What is the domain of the function f(x) = \frac{x+1}{x-5}?

Back

The domain is all real numbers except x = 5, where the function is undefined.

Front

What is the range of the function f(x) = -|x + 3| + 2?

Back

The range is y ≤ 2.

Front

What is the lead coefficient of a polynomial with the form f(x) = x^2 - 5x + 6?

Back

The lead coefficient is 1.

Front

If a polynomial has exactly two distinct zeros, what can be said about its degree?

Back

The polynomial must be of degree 2 or higher.

Front

What angle do you end up at on the unit circle after moving 300° counterclockwise from (0, -1)?

Back

You end up at 210°.

Front

What is the value of f(4) + f(7) if f(x) = x^2 - 10?

Back

f(4) = 4^2 - 10 = 6; f(7) = 7^2 - 10 = 39; Therefore, f(4) + f(7) = 6 + 39 = 45.

Front

Which function does NOT have the set of all real numbers as its domain? f(x) = \frac{x+1}{x-5} or f(x) = 2^x + 3?

Back

f(x) = \frac{x+1}{x-5} does not have the set of all real numbers as its domain.

Front

What is the value of f(0) for the function f(x) = -\sin(x) + 1?

Back

f(0) = -\sin(0) + 1 = 1.

Front

What is the range of the function f(x) = -|x| + 3?

Back

The range is y ≤ 3.